Answer:
x = [tex]\frac{4}{5}[/tex], y = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Express as 2 equations, that is
x + y = 1 → (1)
- x + 9y = 1 → (2)
Add the 2 equations term by term to eliminate x, that is
10y = 2 ( divide both sides by 10 )
y = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]
Substitute this value into (1) and solve for x
x + [tex]\frac{1}{5}[/tex] = 1 ( subtract [tex]\frac{1}{5}[/tex] from both sides )
y = [tex]\frac{5}{5}[/tex] - [tex]\frac{1}{5}[/tex] = [tex]\frac{4}{5}[/tex]
